Calculus of Variations and Geometric Measure Theory
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A. Chambolle - V. Crismale

Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities

created by crismale on 02 Jun 2020
modified on 05 Oct 2021



Inserted: 2 jun 2020
Last Updated: 5 oct 2021

Year: 2020

ArXiv: 2006.00480 PDF


We prove a compactness and semicontinuity result that applies to minimisation problems in nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a previous compactness theorem that we proved and employed to show existence of minimisers for the Dirichlet problem for the (homogeneous) Griffith energy.


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